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Finding the Fourth Proportional to 5,428.81, 7,530.07 and 5,284.78

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Solution

The fourth proportional to 5,428.81, 7,530.07 and 5,284.78 is: 7,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.81 : 7,530.07 = 5,284.78 : x
  2. Step 2: Convert to fraction form
    5,428.81/7,530.07 = 5,284.78/x
  3. Step 3: Cross multiply
    5,428.81x = 7,530.07 × 5,284.78
  4. Step 4: Simplify right side
    5,428.81x = 39,794,763.33
  5. Step 5: Solve for x
    x = 39,794,763.33/5,428.81
  6. Step 6: Final answer
    x = 7,330.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.